Lovegrove Mathematicals

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"Dedicated to making Likelinesses the entity of prime interest"

High/Medium/Low distributions

Ranked High/Medium/Low distributions

Let f∈S(N) and b,c∈ XN be such that [i<j≤b<k≤c<l]⇒f(i)>f(j)>f(k)>f(l).

rhml concept

Then f is a Ranked High/Medium/Low distribution with steps at b and c. The set of all such distributions is denoted by RHML(b,c,N).

High/Medium/Low distributions

Let f∈S(N) and b,c∈ XN be such that [i≤b<j≤c<k]⇒f(i)>f(j)>f(k).

hml concept

Then f is a High/Medium/Low distribution with steps at b and c. The set of all such distributions is denoted by HML(b,c,N).

Algorithm to find
injective f∈RHML(b,c,N)

Select f∈RSD(c,N) and randomise f(b+1), ..., f(c).

Algorithm to find
injective f∈HML(b,c,N)

Select f∈RHML(b,c,N) and randomise f(1), ..., f(b)

RHML(6,13,29) RNML(6,13,29) likelinesses
individual element of HML(6,13,29( HML(6,13,29) individual